Finding the Third Proportional to 31,574.81 and 49,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,574.81 : 49,207.50 = 49,207.50 : x
2. Step 2: Convert to fraction form
   31,574.81/49,207.50 = 49,207.50/x
3. Step 3: Cross multiply
   31,574.81x = 49,207.50 × 49,207.50
4. Step 4: Simplify right side
   31,574.81x = 2,421,378,056.25
5. Step 5: Solve for x
   x = 2,421,378,056.25/31,574.81
6. Step 6: Final answer
   x = 76,687.01